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210100010212093 is a prime number
BaseRepresentation
bin101111110001010110111000…
…011110011101101011111101
31000112220100211221201111000011
4233301112320132131223331
5210014234310103241333
62022502340124303221
762153140053522361
oct5761267036355375
91015810757644004
10210100010212093
1160a42a06517a11
121b6929583a1b11
1390304660910a1
1439c4c752b12a1
1519452b40879cd
hexbf15b879dafd

210100010212093 has 2 divisors, whose sum is σ = 210100010212094. Its totient is φ = 210100010212092.

The previous prime is 210100010212049. The next prime is 210100010212109. The reversal of 210100010212093 is 390212010001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210042469236964 + 57540975129 = 14492842^2 + 239877^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210100010212093 is a prime.

It is a super-2 number, since 2×2101000102120932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210100010218093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050005106046 + 105050005106047.

It is an arithmetic number, because the mean of its divisors is an integer number (105050005106047).

Almost surely, 2210100010212093 is an apocalyptic number.

It is an amenable number.

210100010212093 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100010212093 is an equidigital number, since it uses as much as digits as its factorization.

210100010212093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 210100010212093 in words is "two hundred ten trillion, one hundred billion, ten million, two hundred twelve thousand, ninety-three".